10142010142000 has 320 divisors, whose sum is σ = 27078999083136. Its totient is φ = 3643200000000.

The previous prime is 10142010141979. The next prime is 10142010142049. The reversal of 10142010142000 is 24101024101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1024337050 + ... + 1024346950.

Almost surely, 2^{10142010142000} is an apocalyptic number.

10142010142000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10142010142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13539499541568).

10142010142000 is an abundant number, since it is smaller than the sum of its proper divisors (16936988941136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10142010142000 is a wasteful number, since it uses less digits than its factorization.

10142010142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10497 (or 10481 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10142010142000 its reverse (24101024101), we get a palindrome (10166111166101).

It can be divided in two parts, 101420 and 10142000, that multiplied together give a square (1028601640000 = 1014200²).

The spelling of 10142010142000 in words is "ten trillion, one hundred forty-two billion, ten million, one hundred forty-two thousand".